Mathematics ECAT Pre Engineering Chapter 15 Inverse Trigonometric Functions Online Test With Answers

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Mathematics ECAT Pre Engineering Chapter 15 Inverse Trigonometric Functions Online Test

Sr. # Questions Answers Choice
1 Tan-11/x = ______ sin x sec<sup>-1</sup>X cot<sup>-1</sup>X None of these
2 sin-1[-1/2] = ______
3 The number of triplets (x, y, z) satisfying sin-1x +cos-1y + sin-1z = 2π is 0 2 1 Infinite
4 If tan-13 + tan-1x = tan-18, then x= 5 1/5 5/14 14/5
5
6
7 <i style="text-align: center;">π / 3</i> <i style="text-align: center;">π / 4</i> <i style="text-align: center;">π / 6</i> 0
8 <i style="text-align: center;">π</i> <i style="text-align: center;">π / 2</i> <i style="text-align: center;">π / 3</i> <i style="text-align: center;">π / 4</i>
9 sin[cot-1{cos(tan-1x)}]=
10 tan(cot-1x) is equal to cot(tan<sup>-1</sup>x) tan x secon x None of these
11 <i style="text-align: center;">π / 4</i> <i style="text-align: center;">π / 6</i> <i style="text-align: center;">π / 3</i> 0
12 <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π / 3</i></span> <i style="text-align: center;">π / 4</i> <i style="text-align: center;">π / 2</i> <i style="text-align: center;">π</i>
13 16 / 7 6 / 17 7 / 16 None of these
14 The solution set of the equation tan-1x - cot-1x = cos-1(2 - x) is [0, 1] [-1, 1] [1, 3] None of these
15 2 5 7 None of these
16 20 10 0 None of these
17 1 0 3 -3
18
19 tan-1x > cot-1x holds for x &gt; 1 x &lt; 1 x = 1 All values of x
20 1/3 1 3 None of these
21 Cos 2x = sin 4y Cos 4y = cos 2x Cos 3y = sin 4x None of these
22
23 0 1 -1 None of these
24 1 -1 0 None of these
25 x = 3 x = 1/5 x = 0 None of these
26
27 If cos-1p + cos-1q + cos-1r =πthen p2+ q2+ r2+ 2pqr is equal to 3 1 2 -1
28 1 7 4 None of these
29 <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 4 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 6 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 3 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>2π</i></span>/ 3
30 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 2 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 3 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>/ 4 <span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>π</i></span>
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